A fun and fascinating look at great scientific paradoxes.   Throughout history, scientists have come up with theories and ideas that just don't seem to make sense.  These we call paradoxes.  The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds.  For example, how can a cat be both dead and alive at the same time?  Why will Achilles never beat a tortoise in a race, no matter how fast he runs?  And how can a person be ten years older than his twin?   With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle.  Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic.  In doing so, he brings to life a select group of the most exciting concepts in human knowledge.  Paradox is mind-expanding fun.

    There are excellent books that compare worldviews (i.e. Jim Sire's The Universe Next Door), there are excellent books that contrast the Biblical worldview with other worldviews (i.e. David Noebel's Understanding the Times), and there are a few excellent books that help one construct a Biblical Worldview (i.e. Nancy Pearcey's Total Truth). What Making Sense of Your World offers is a basic, accessible introduction to Biblical Worldview that covers all of these aspects of worldview thinking. Part One compares the basic worldviews, Part Two contrasts (and seeks to defend) the Biblical Worldview with the others, and Part Three constructs a biblical worldview in four key areas. This book is an overview; the Christian thinker is invited to continue his or her study through the recommended readings at the end of each chapter--an ongoing task Paul labels the "renewing" of our minds (Romans 12:2). - The reviser, John Stonestreet.

    Some of the life-changing results that you, too, can experience include:Overcoming the power of sinWalking in divine health and wholenessLiving in peace and divine protectionReceiving help when temptedSharing the gospel with othersBringing loved ones to God In an exploration of the Scripture, Mary Baxter leads the reader to a deeper understanding of the purpose and infinite provision of the shed blood of Christ. Whatever your situation, you can have new intimacy with your heavenly Father and receive miraculous answers to your prayers--through the power of the blood.

    In The Irrationals , the first popular and comprehensive book on the subject, Julian Havil tells the story of irrational numbers and the mathematicians who have tackled their challenges, from antiquity to the twenty-first century. Along the way, he explains why irrational numbers are surprisingly difficult to define--and why so many questions still surround them. That definition seems so simple: they are numbers that cannot be expressed as a ratio of two integers, or that have decimal expansions that are neither infinite nor recurring. But, as The Irrationals shows, these are the real "complex" numbers, and they have an equally complex and intriguing history, from Euclid's famous proof that the square root of 2 is irrational to Roger Apry's proof of the irrationality of a number called Zeta(3), one of the greatest results of the twentieth century. In between, Havil explains other important results, such as the irrationality of e and pi. He also discusses the distinction between "ordinary" irrationals and transcendentals, as well as the appealing question of whether the decimal expansion of irrationals is "random". Fascinating and illuminating, this is a book for everyone who loves math and the history behind it.

     For more than thirty years, John Piper pastored in the rough and tumble realities of downtown Minneapolis, preaching his people through the ups and down of life one Sunday at a time. When it came to capturing a generation of joy in one final sermon series, he turned to ten trademark truths to leave ringing in his peoples’ ears. These ten are world-shaking truths—each astonishing in its own way. First they turned Piper’s own world upside down. Then his church’s. And they will continue to turn the whole world upside down as the gospel of Christ advances in distance and depth. These surprising doctrines, as Piper writes, are “wildly untamable, explosively uncontainable, and electrically future-creating.” Join a veteran author, pastor, and Christian leader as he captures the ten astonishing, compassionate, life-giving, joy-awakening, hope-sustaining truths that have held everything together for him. (This book is a revised edition of the earlier title, Doctrine Matters.)

    After almost twenty years in ministry, Walker was laid off twice, lost his home and savings, was diagnosed with bipolar II disorder, and then his wife filed for divorce just a few days before their twenty-fourth anniversary.Bonhoeffer saw the storms of political upheaval and pressure on Christians coming at warp speed, and he called believers to meet it head on by following Jesus, who bids believers to come and die.In BREAKFAST WITH BONHOEFFER, Walker brings to a new generation the timeless teachings of Bonhoeffer, especially the teaching that calls Jesus' followers to break free from the tyranny of popular culture and religious thinking. It also offers hope for those who face loss or have been hurt by the economic downturn.

    But how have we come by our worldviews, and what impact did Christianity have on those that are common to Western civilization? This authoritative, accessible survey traces the development of the worldviews that underpin the Western world. It demonstrates the decisive impact that the growth of Christianity had in transforming the outlook of pagan Roman culture into one that, based on biblical concepts of humanity and its relationship with God, established virtually all the positive aspects of Western civilization. The two-pronged assault in our time on the biblically based worldview by postmodern philosophy and the writings of neo-atheists has made it even more crucial that we acknowledge and defend its historical roots. Unique among books on the topic, this work discusses Western worldviews as a continuous narrative rather than as simply a catalogue of ideas, and traces the effects changes in worldview had on society. It helps readers understand their own worldviews and those of other people and helps them recognize the consequences that worldviews hold. Professors, students, and armchair historians alike will profit from this book.

    She crafts a fresh approach that exposes the real-world impact of ideas in philosophy, science, art, literature, and film--voices that surround us in the classroom, in the movie theater, and in our living rooms.A former agnostic, Pearcey offers a persuasive case for historic Christianity as a holistic and humane alternative. She equips readers to counter the life-denying worldviews that are radically restructuring society and pervading our daily lives. Whether you are a devoted Christian, determined secularist, or don't know quite where you stand, reading Saving Leonardo will unsettle established views and topple ideological idols. Includes more than 100 art reproductions and illustrations that bring the book's themes to life.

    A book that reminds us all that there are so many that suffer yet still find hope. Hope can be found in the smallest of moments. A book to savor and to bring home the importance of love, life and the best that there is to be found in people. A wonderful celebration of humanity. This gift book will be a gift of HOPE."Essentially, I am a hopeful person who believes that life can and does have a way of giving us the impetus to keep going in hard times, and to keep working for what might otherwise seem like a 'hopeless' cause." - Tim Costello

    As people made in the image of God, we are entrusted to look after what he has created: to share in God’s joy and ingenuity in making a difference for good. Ruth Valerio imaginatively draws on the Days of Creation (Genesis 1) as she relates themes of light, water, land, the seasons, other creatures, humankind, Sabbath rest and resurrection hope to matters of environmental, ethical and social concern.Foundational to Saying Yes to Life is what it means to be human and, in particular, to be a follower of Jesus. Voices from around the world are heard throughout, and each chapter ends with discussion questions and a prayer to aid action and contemplation. e

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    Each chapter, or unit, is divided into easily comprehended small "bites" that enable learners to master the material step-by-step, rather than being overwhelmed by masses of information covered too quickly. The book provides extremely detailed explanations of procedures and techniques, and was written in the conviction that anyone can thoroughly master its content. A four-part organization covers sentential logic, monadic predicate logic, relational predicate logic, and extra credit units that glimpse into alternative methods of logic and more advanced topics. For individuals interested in the formal study of logic.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.